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Re: What is the value of y? [#permalink]
02 Nov 2011, 13:37

2

This post received KUDOS

from 2nd we got 2 roots: -8 or 14, check this roots with 1st statement we see that 3|x^2-4| can't be negative, so -8 is out. 14 is left and it's the only choice left.

Re: What is the value of y? [#permalink]
03 Nov 2011, 11:20

Here is my take, can the experts confirm please if my approach is correct ?

1. 3|x^2-4|= y-2 gives us 2 values if we open the modulus, for the 2 values y = 3x^2 -10 and y = 14 – 3x^2. NOT SUFFICIENT.

2. |3-y|=11, gives y = -8, 14 if we open the modulus. NOT SUFFICIENT.

Combining 1 and 2. if we put the values y = -8, 14 in 3|x^2-4|= y-2, If y = -8, 3|x^2-4|= -10, not possible as If y = 14, 3|x^2-4|= 12, Only possible value.

Re: What is the value of y? [#permalink]
12 Mar 2015, 07:19

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Re: What is the value of y? [#permalink]
12 Mar 2015, 08:39

Expert's post

1

This post was BOOKMARKED

enigma123 wrote:

What is the value of y?

(1) 3|x^2 - 4| = y - 2 (2) |3 - y| = 11

What is the value of y?

(1) \(3|x^2-4|=y-2\). Now, since we are asked to find the value of y, from this statement we can conclude only that \(y\geq{2}\), as LHS is absolute value which is never negative, hence RHS als cannot be negative. Not sufficient.

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